418 citations · 2.2k across the 78 of their papers we have counts for
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On the dynamics of interfaces in the ferromagnetic XXZ chain under weak perturbations
Bruno Nachtergaele, Wolfgang L Spitzer, Shannon Starr
We study the time evolution of interfaces of the ferromagnetic XXZ chain in a magnetic field. A scaling limit is introduced where the strength of the magnetic field tends to zero a…
Derivation of the Euler equations from many-body quantum mechanics
Bruno Nachtergaele, Horng-Tzer Yau
The Heisenberg dynamics of the energy, momentum, and particle densities for fermions with short-range pair interactions is shown to converge to the compressible Euler equations in…
Derivation of the Euler Equations from Quantum Dynamics
Bruno Nachtergaele, Horng-Tzer Yau
We derive the Euler equations from quantum dynamics for a class of fermionic many-body systems. We make two types of assumptions. The first type are physical assumptions on the sol…
The Ferromagnetic Heisenberg XXZ chain in a pinning field
Pierluigi Contucci, Bruno Nachtergaele, Wolfgang L. Spitzer
We investigate the effect of a magnetic field supported at a single lattice site on the low-energy spectrum of the ferromagnetic Heisenberg XXZ chain. Such fields, caused by impuri…
The equilibrium states for a model with two kinds of Bose condensation
Jean-Bernard Bru, Bruno Nachtergaele, Valentin Zagrebnov
We study the equilibrium Gibbs states for a Boson gas model, defined by Bru and Zagrebnov, which has two phase transitions of the Bose condensation type. The two phase transitions…